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Finite-speed heat propagation as a consequence of microstructural changes

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Abstract

We show how a general description of microstructural changes in a macroscopically rigid conductor implies finite-speed propagation of temperature variations. In this way, we interpret once again Fourier’s paradox as a result of an insufficient representation of the structure of matter. The result is independent of the type of the material microstructure, provided that its changes are influenced by temperature variations. With the present treatment, we indicate a possible view on an old problem, already analyzed from different perspectives.

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Authors and Affiliations

  1. DICeA, Università di Firenze, via Santa Marta 3, 50136, Florence, Italy

    Paolo Maria Mariano

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  1. Paolo Maria Mariano
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Correspondence to Paolo Maria Mariano.

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Communicated by Andreas Öchsner.

Dedicated to Tommaso Ruggeri on the occasion of his 70th birthday

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Mariano, P.M. Finite-speed heat propagation as a consequence of microstructural changes. Continuum Mech. Thermodyn. 29, 1241–1248 (2017). https://doi.org/10.1007/s00161-017-0577-7

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  • DOI: https://doi.org/10.1007/s00161-017-0577-7

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